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Popular >

integral from-1 to 3 of |2-x|

Solution

\int_{- 1}^{3} ∣ 2 - x ∣ d x

Solution

5

Solution steps

\int_{- 1}^{3} ∣ 2 - x ∣ d x

Eliminate Absolutes

= \int_{- 1}^{2} 2 - x d x + \int_{2}^{3} - 2 + x d x

\int_{- 1}^{2} 2 - x d x = \frac{9}{2}

\int_{2}^{3} - 2 + x d x = \frac{1}{2}

= \frac{9}{2} + \frac{1}{2}

Simplify

\frac{9}{2} + \frac{1}{2} : 5

= 5

Graph

Popular Examples

integral from 0 to 1 of x^{-1}ln(x)

\int_{0}^{1} x^{- 1} ln (x) d x

integral from 0 to 1 of xln(1+x^2)

\int_{0}^{1} x ln (1 + x^{2}) d x

integral from-1 to 3 of x(3-x^2)

\int_{- 1}^{3} x (3 - x^{2}) d x

integral from 0 to 2pi of sin(x/2)

\int_{0}^{2 π} sin (\frac{x}{2}) d x

integral from-pi/4 to pi/4 of sec^2(x)

\int_{- \frac{π}{4}}^{\frac{π}{4}} sec^{2} (x) d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 3 of |2-x| ?
The integral from-1 to 3 of |2-x| is 5